Methods to engineer the genomes of human cells for therapeutic intervention continue to advance at a remarkable pace. Chimeric antigen receptor-engineered T lymphocytes have pioneered the way for these therapies, initially beginning with insertions of chimeric antigen receptor transgenes into T-cell genomes using classical gene therapy vectors. The broad use of clustered regularly interspaced short palindromic repeats (CRISPR)-based technologies to edit endogenous genes has now opened the door to a new era of precision medicine. To add complexity, many engineered cellular therapies under development integrate gene therapy with genome editing to introduce novel biological functions and enhance therapeutic efficacy. Here, we review the current state of scientific, translational, and regulatory oversight of gene-edited cell products.